# IMO- Mathematics Olympiad Class 10: Questions 86 - 91 of 958

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## Question number: 86

MCQ▾

### Question

If are the roots of then is ________

### Choices

Choice (4) Response

a.

-10

b.

-5

c.

-15

d.

-20

## Question number: 87

MCQ▾

### Question

The ratio between a two – digit number and the sum of digits of that number is . If the digit in the unit place is 3 more than the digit in the tenth place, what is the number?

### Choices

Choice (4) Response

a.

40

b.

24

c.

63

d.

36

## Question number: 88

MCQ▾

### Question

The value of k for which the system of equations has no solution, is ________

### Choices

Choice (4) Response

a.

3

b.

1

c.

10

d.

6

## Question number: 89

MCQ▾

### Question

If one zero of the polynomial is a reciprocal of the other, then k is equal to ________

### Choices

Choice (4) Response

a.

2

b.

9

c.

7

d.

5

## Question number: 90

MCQ▾

### Question

The denominators of a rational number is greater than its numerator by 5. If 2 is subtracted from the numerator and 5 is added to the denominator, the new number becomes. Then the original number was ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 91

MCQ▾

### Question

If are the roots of the equation, then the equation whose roots are and is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

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